The New York Yankees have the most runs by a team in the month of June, with 16,362 runs.

	TEAM	R	G	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Yankees	16,362	3,288	.566	1,856	1,421	112,853	30,225	4,947	986	3,193		11,928	770		1,963	493	127,774	46,723	9,126	1,683	568	514	1,812	.268	.340	.414	.754
2	Red Sox	16,182	3,363	.525	1,757	1,591	115,729	31,348	5,843	1,051	2,685		11,575	847		1,651	469	130,665	47,348	9,579	1,915	599	537	2,009	.271	.340	.409	.749
3	Giants	15,609	3,336	.531	1,765	1,556	114,261	30,396	5,040	983	2,690		10,791	864		2,093	542	128,354	45,472	8,713	1,974	543	691	1,779	.266	.333	.398	.730
4	Tigers	15,539	3,337	.504	1,677	1,649	113,747	30,068	5,098	1,120	2,654		11,331	709		1,896	507	128,233	45,368	8,872	1,986	531	449	1,906	.264	.333	.399	.732
5	Guardians	15,428	3,375	.507	1,704	1,659	115,370	30,735	5,422	983	2,563		11,018	808		1,965	572	129,708	45,812	8,968	2,049	571	462	1,861	.266	.333	.397	.730
6	Athletics	14,996	3,353	.483	1,615	1,727	113,918	29,491	5,172	963	2,539		11,006	827		2,007	574	128,186	44,206	8,674	1,930	537	367	1,869	.259	.327	.388	.715
7	White Sox	14,990	3,350	.506	1,691	1,650	114,082	29,828	4,899	1,010	2,265		10,811	940		2,357	618	128,539	43,542	8,174	2,175	531	423	1,812	.261	.329	.382	.711
8	Twins	14,928	3,345	.481	1,602	1,730	114,352	30,233	5,250	1,137	2,197		10,731	897		2,076	529	128,272	44,348	8,584	1,805	521	434	1,842	.264	.331	.388	.719
9	Cubs	14,806	3,341	.499	1,657	1,666	113,959	29,776	5,095	1,006	2,615		10,564	815		2,039	553	127,989	44,728	8,716	2,139	512	681	1,754	.261	.327	.392	.720
10	Cardinals	14,749	3,321	.516	1,708	1,602	113,681	30,214	5,250	1,186	2,155		10,159	783		2,264	625	126,819	44,301	8,591	1,873	511	638	1,687	.266	.329	.390	.719
11	Orioles	14,719	3,339	.473	1,572	1,749	114,020	29,762	5,073	880	2,639		10,873	793		1,803	469	127,809	44,512	8,592	1,840	535	442	1,938	.261	.328	.390	.719
12	Braves	14,656	3,364	.487	1,634	1,721	114,915	29,992	4,939	924	2,554		10,333	792		1,763	513	128,552	44,441	8,417	2,066	475	654	1,768	.261	.325	.387	.712
13	Phillies	14,571	3,321	.467	1,546	1,762	113,450	29,569	5,179	985	2,475		10,469	790		1,950	489	127,041	44,143	8,639	1,836	525	668	1,688	.261	.326	.389	.715
14	Pirates	14,545	3,289	.502	1,643	1,627	112,988	30,098	5,015	1,242	2,084		9,801	833		2,169	569	126,078	43,849	8,341	1,950	540	655	1,761	.266	.328	.388	.716
15	Reds	14,438	3,303	.501	1,646	1,641	112,639	29,664	4,965	979	2,459		9,952	820		2,315	580	125,960	43,964	8,403	2,054	530	645	1,692	.263	.326	.390	.717
16	Dodgers	14,333	3,306	.517	1,704	1,589	112,548	29,427	4,756	1,005	2,437		10,398	702		2,130	605	126,242	43,504	8,198	2,117	477	578	1,697	.261	.327	.387	.713
17	Rangers	7,858	1,718	.484	830	886	59,265	15,418	2,662	313	1,756	7,443	5,630	442	11,097	1,033	491	66,322	23,974	4,731	497	488	405	1,296	.260	.326	.405	.731
18	Angels	7,512	1,721	.510	878	842	58,592	15,149	2,621	308	1,556	7,059	5,473	507	10,510	970	525	65,618	23,054	4,485	597	449	432	1,339	.259	.325	.393	.718
19	Astros	7,215	1,680	.500	840	839	56,781	14,492	2,671	358	1,462	6,780	5,492	472	10,403	1,239	535	63,902	22,265	4,491	692	465	539	1,230	.255	.324	.392	.716
20	Mets	6,888	1,694	.468	793	900	57,254	14,334	2,534	293	1,511	6,477	5,224	479	10,773	1,034	469	64,104	21,987	4,338	670	477	548	1,308	.250	.316	.384	.700
21	Brewers	6,842	1,488	.502	747	740	50,721	13,297	2,473	316	1,507	6,495	4,739	455	9,880	1,016	444	56,871	20,923	4,296	526	430	341	1,138	.262	.328	.413	.741
22	Royals	6,405	1,474	.480	708	766	50,470	13,354	2,484	384	1,128	6,051	4,275	393	8,444	1,140	485	56,003	19,990	3,996	433	432	311	1,150	.265	.324	.396	.720
23	Nationals	6,248	1,487	.498	740	746	50,180	12,819	2,558	291	1,221	5,891	4,727	422	9,301	1,131	481	56,370	19,622	4,070	625	416	465	1,104	.255	.322	.391	.713
24	Padres	6,041	1,486	.467	694	791	50,329	12,630	2,214	301	1,200	5,694	4,769	368	9,841	959	489	56,443	19,046	3,715	615	362	491	1,041	.251	.318	.378	.697
25	Blue Jays	5,880	1,254	.495	621	633	43,072	11,275	2,219	243	1,448	5,581	4,041	402	7,919	730	333	48,107	18,324	3,910	255	337	228	969	.262	.328	.425	.754